The Homotopy Exponent Problem For Certain Classes Of Polyhedral Products

Robinson, Daniel Mark (2012) The Homotopy Exponent Problem For Certain Classes Of Polyhedral Products. Doctoral thesis, Manchester Institute for Mathematical Sciences, The University of Manchester.

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Abstract

Given a sequence of n topological pairs, and a simplicial complex on n vertices, there is a topological space by a construction of Buchstaber and Panov. Such spaces are called polyhedral products and they generalize the central notion of the moment-angle complex in toric topology. In this thesis we study certain classes of polyhedral products from a homotopy theoretic point of view.

Item Type: Thesis (Doctoral)
Uncontrolled Keywords: polyhedral product, homotopy, homotopy exponent, homotopy decomposition, Moore space, Barratt conjecture, Moore conjecture
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 55 Algebraic topology
Depositing User: Dr Daniel Mark Robinson
Date Deposited: 13 Mar 2013
Last Modified: 20 Oct 2017 14:13
URI: https://eprints.maths.manchester.ac.uk/id/eprint/1953

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